On the cosmological constant, the KK mass scale, and the cut-off dependence in the dark dimension scenarioLuis A. Anchordoqui, Ignatios Antoniadis, Dieter Lüst and Severin LüstEur. Phys. J. C, 83 11 (2023) 1016DOI: https://doi.org/10.1140/epjc/s10052-023-12206-2